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Find the length of AB.

A
O 140°
8 m
B
Round your answer to the nearest hundredth.
ÁB = [ ? ]m

:)

Find the length of AB. A O 140° 8 m B Round your answer to the nearest hundredth. ÁB-example-1
User Emreberge
by
5.8k points

1 Answer

2 votes

Answer:

19.55m

Explanation:

We solve the above question using the formula for Arc Length

The formula of Arc length when central angle is given in degrees = Length of AB

= θ/360 × 2πr

Central angle = θ = 140°

Radius = r = 8m

Hence,

Length AB = 140/360 × 2 × π × 8

= 19.547687622 m

Approximately to the nearest hundredth, the length of AB = 19.55m

User Jamal S
by
6.2k points